In a Wheatstone bridge, if the bridge is balanced, what can be said about the ratio of the resistances?

Practice Questions

1 question

R1/R2 = R3/R4
R1 + R2 = R3 + R4
R1 - R2 = R3 - R4
R1 * R2 = R3 * R4

Questions & Step-by-step Solutions

1 item

Q: In a Wheatstone bridge, if the bridge is balanced, what can be said about the ratio of the resistances?

Solution: In a balanced Wheatstone bridge, the ratio of the resistances in one branch is equal to the ratio in the other branch, hence R1/R2 = R3/R4.

Steps: 6

Step 1: Understand that a Wheatstone bridge has four resistors arranged in a diamond shape.
Step 2: Identify the resistors as R1, R2, R3, and R4.
Step 3: Know that the bridge is balanced when there is no current flowing through the middle part of the bridge.
Step 4: When the bridge is balanced, the voltage across the middle part is zero.
Step 5: This condition leads to the relationship between the resistors: the ratio of R1 to R2 is equal to the ratio of R3 to R4.
Step 6: Write this relationship as R1/R2 = R3/R4.

In a Wheatstone bridge, if the bridge is balanced, what can be said about the ratio of the resistances?

Practice Questions

Questions & Step-by-step Solutions

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